A rocket moves upward, starting from rest with an acceleration of 28.4 m/s2 for 4.79 s. It runs out of fuel at the end of the 4.79 s but does not stop. How high does it rise above the ground?
Vo = a*t = 28.4*4.79 = 136 m/s.
h = Vo*t + 0.5g*t^2
h = 136*4.79 - 4.9*4.79^2 = 539 m.